Problema Solution

The cost for production of a generator and the revenue from the sales of x units are given by C=13.1x+140, R=51.2x-0.3x^2. Find the break-even points, rounding to the nearest whole number.

Answer provided by our tutors

The break-even point is the point at which cost and revenue are equal:

C = R

13.1x+140 = 51.2x-0.3x^2

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click here to see the equation solved for x

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x1 = 123

x2 = 4

There are two break-even points: 123 and 4.